understanding slope\nuse the regression line for the data in the scatter - plot to answer the question. on…

understanding slope\nuse the regression line for the data in the scatter - plot to answer the question. on average, how many more goals will a player score for every additional hour of practice?\n1/2 of a goal\n3/4 of a goal\n1 goal\n4/3 goals\ntournament goals scored\nhours of practice

understanding slope\nuse the regression line for the data in the scatter - plot to answer the question. on average, how many more goals will a player score for every additional hour of practice?\n1/2 of a goal\n3/4 of a goal\n1 goal\n4/3 goals\ntournament goals scored\nhours of practice

Answer

Answer:

A. $\frac{1}{2}$ of a goal

Explanation:

Step1: Recall slope concept

The slope of the regression - line represents the change in the dependent variable (goals scored) for a unit change in the independent variable (hours of practice).

Step2: Select two points on the line

Let's take two points on the regression line, say $(2,2)$ and $(4,3)$.

Step3: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 2,y_1 = 2,x_2 = 4,y_2 = 3$. Then $m=\frac{3 - 2}{4 - 2}=\frac{1}{2}$. So, on average, a player scores $\frac{1}{2}$ of a goal for every additional hour of practice.